Pith Number

pith:GNOM4IET

pith:2026:GNOM4IETMEG6DQUVRMSRM4ZIIV

not attested not anchored not stored refs pending

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds

Stephane Sabourau

arxiv:2606.06777 v1 · 2026-06-04 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNOM4IETMEG6DQUVRMSRM4ZIIV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-08T01:04:27.740206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335cce2093610de1c2958b25167328456478fda72a560f768912c2ec51c779a0

Aliases

arxiv: 2606.06777 · arxiv_version: 2606.06777v1 · doi: 10.48550/arxiv.2606.06777 · pith_short_12: GNOM4IETMEG6 · pith_short_16: GNOM4IETMEG6DQUV · pith_short_8: GNOM4IET

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GNOM4IETMEG6DQUVRMSRM4ZIIV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 335cce2093610de1c2958b25167328456478fda72a560f768912c2ec51c779a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32380b62c22e0ff1c4420c26591aa7b6bbc8f74bae9ce28d7f5815ac8e87f0c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-04T23:39:06Z",
    "title_canon_sha256": "832b260bb52c3fac694f9b268201d81e9866d9de616f3710dc15f0c82c5aa3dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06777",
    "kind": "arxiv",
    "version": 1
  }
}